Properties of the Number 31301

Thirty-One Thousand Three Hundred One

Basics

Value: 31300 → 31301 → 31302

Parity: odd

Prime: No

Previous Prime: 31277

Next Prime: 31307

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 113 × 277

Divisors: 1, 113, 277, 31301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101001000101

Octal: 75105

Duodecimal: 16145

Hexadecimal: 7a45

Square: 979752601

Square Root: 176.92088627406318

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions of n² into distinct squares. A30273

a(n) = prime(n) * prime(2·n-1). A219603

a(n) is the least number m such that m = n^d_1 + n^d_2 + ... + n^d_k where d_k represents the k-th digit in the decimal expansion of m, or 0 if no such number exists. A236067

G.f.: 1 / AGM((1 - 3·x)², (1 + x)²). A245930

Numbers m such that m equals a fixed number raised to the powers of the digits. A258484

a(n) = ∑_k=0..n (n!/k!)²*binomial(n-1,k-1). A119399

Powers of fifth root of 21 rounded up. A18176

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 998", based on the 5-celled von Neumann neighborhood. A273856

G.f. A(x) satisfies: A(x) = B(x)*C(x) where B(x) = 1 + x·A(x)*C(x) and C(x) = 1 + 2·x*A(x)*B(x). A258313

Triangle, read by rows, T(n, k) = (-1)ⁿ*(n!/k!)²*binomial(n-1, k-1). A169656